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Mat. Biolog. Bioinform., 2012, Volume 7, Issue 2, Pages 589–610 (Mi mbb125)  

This article is cited in 4 scientific papers (total in 4 papers)

Mathematical Modeling

A Mathematical Model for Evolution of Human Functional Disorders Influenced by Environment Factors

Petr V. Trusovab, Nina V. Zaitsevaa, Dmitriy A. Kiryanova, Marat R. Kamaltdinovab, Mihail Ju. Cinkerab, Vladimir M. Chigvintseva, Dmitriy V. Lanina

a Federal scientific center for medical and preventive health risk management technologies, Perm, 614000, Russia
b State National Research Polytechnic University of Perm, Perm, 614000, Russia

Abstract: A mathematical model predicting the evolution of human functional disorders under environment influence is developed. The natural aging, regeneration processes, accumulation of damage due to abnormal substances streams and functional recovery through treatment are considered. Inflow of substances from the environment, accumulation, metabolism and elimination are described with neuro-humoral regulation. Numerical solution of differential equations based on implementation of finite difference schemes are obtained for different cases.

Key words: mathematical modeling, evolution equations, functional disorders, environment influence.

Full text: PDF file (764 kB)
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UDC: 51-76
Received 09.06.2012, Published 06.11.2012

Citation: Petr V. Trusov, Nina V. Zaitseva, Dmitriy A. Kiryanov, Marat R. Kamaltdinov, Mihail Ju. Cinker, Vladimir M. Chigvintsev, Dmitriy V. Lanin, “A Mathematical Model for Evolution of Human Functional Disorders Influenced by Environment Factors”, Mat. Biolog. Bioinform., 7:2 (2012), 589–610

Citation in format AMSBIB
\Bibitem{TruZaiKir12}
\by Petr~V.~Trusov, Nina~V.~Zaitseva, Dmitriy~A.~Kiryanov, Marat~R.~Kamaltdinov, Mihail~Ju.~Cinker, Vladimir~M.~Chigvintsev, Dmitriy~V.~Lanin
\paper A Mathematical Model for Evolution of Human Functional Disorders Influenced by Environment Factors
\jour Mat. Biolog. Bioinform.
\yr 2012
\vol 7
\issue 2
\pages 589--610
\mathnet{http://mi.mathnet.ru/mbb125}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Zaitseva N.V., Kiryanov D.A., Lanin D.V., Chigvintsev V.M., “a Mathematical Model of the Immune and Neuroendocrine Systems Mutual Regulation Under the Technogenic Chemical Factors Impact”, Comput. Math. Method Med., 2014, 492489  crossref  mathscinet  zmath  isi  elib  scopus
    2. P. V. Trusov, N. V. Zaitseva, M. R. Kamaltdinov, “Techenie v antroduodenalnoi oblasti pischevaritelnogo trakta: matematicheskaya model i nekotorye rezultaty”, Matem. biologiya i bioinform., 10:1 (2015), 34–53  mathnet  crossref
    3. P. V. Trusov, N. V. Zaitseva, M. Yu. Tsinker, “Modelirovanie protsessa dykhaniya cheloveka: kontseptualnaya i matematicheskaya postanovki”, Matem. biologiya i bioinform., 11:1 (2016), 64–80  mathnet  crossref
    4. Kamaltdinov M., Trusov P., Zaitseva N., 13Th National Congress on Theoretical and Applied Mechanics (Nctam 2017), Matec Web of Conferences, 145, eds. Vassilev V., Nikolov S., Datcheva M., Ivanova Y., E D P Sciences, 2018  crossref  mathscinet  isi  scopus
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